Renormalization of domain-wall bilinear operators with short-distance current correlators

Abstract

We determine the renormalization constants for flavor non-singlet fermion bilinear operators of Möbius domain-wall fermions. The renormalization condition is imposed on the correlation functions in the coordinate space, such that the non-perturbative lattice calculation reproduces the perturbatively calculated counterpart at short distances. The perturbative expansion is precise as the coefficients are available up to $O({\alpha }_s^4)$. We employ $2+1$-flavor lattice ensembles at three lattice spacings in the range 0.044--0.080~fm.

arXiv comment36 pages, 20 figures

References in corpus (22)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• A Method for Simulating Chiral Fermions on the Lattice
• The four-loop beta-function in Quantum Chromodynamics
• Chiral Fermions from Lattice Boundaries
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Quark Mass Anomalous Dimension to alpha_s**4
• Infinitely many regulator fields for chiral fermions
• Hints on the power corrections from current correlators in x-space
• Mobius Fermions: Improved Domain Wall Chiral Fermions
• The check of QCD based on the tau-decay data analysis in the complex q^2-plane
• Correlation Functions of Hadron Currents in the QCD Vacuum Calculated in Lattice QCD
• Current correlators to all orders in the quark masses
• Non-perturbative improvement of composite operators with Wilson fermions
• Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results
• One loop calculation in lattice QCD with domain-wall quarks
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Non-perturbative renormalization of lattice operators in coordinate space
• The Möbius Domain Wall Fermion Algorithm
• A Note on analytic formulas of Feynman propagators in position space
• Stochastic calculation of the QCD Dirac operator spectrum with Mobius domain-wall fermion

Cited by in corpus (16)

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• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD
• Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
• Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
• Inclusive semi-leptonic B meson decay structure functions from lattice QCD
• Topological susceptibility of QCD with dynamical Möbius domain wall fermions
• $O(4)$-symmetric position-space renormalization of lattice operators
• Lattice calculation of coordinate-space vector and axial-vector current correlators in QCD
• Topological susceptibility in 2+1-flavor QCD with chiral fermions
• Non-perturbative running of renormalization constants from correlators in coordinate space using step scaling
• Stochastic calculation of the Dirac spectrum on the lattice and a determination of chiral condensate in 2+1-flavor QCD
• Spectral sum of current correlators from lattice QCD
• Current correlators in the coordinate space at short distances
• Renormalization of bilinear and four-fermion operators through temporal moments